J.D. Mireles James
Florida Atlantic University
Research interests include:
Department of Mathematical Sciences
- The computer as the mathematician's laboratory for studying global dynamics of nonlinear systems. I'm especially interested in the computation and visualization of smooth invariant manifolds.
- Reformulation of qualitative questions about nonlinear dynamical systems into quantitative functional equations, and numerical methods for studying these functional equations.
- Rigorous numerical methods and computer assisted proof in analysis, especially constructive a-posteriori existence (or "shadowing") theorems for invariant manifolds, connecting dynamics, and chaotic motions.
With J.P. Lessard and J.B. van den Berg I am a co-founder and co-organizer of the weekly online CRM Computer-assisted mathematical proofs in nonlinear analysis seminar. A link to the seminar page if here:
Professor Erik Lundberg and I organize the Analysis and Applications Seminar in the Department of Mathematical Sciences at FAU. For this and other seminar activities at FAU see the department calendar: